Natural numbers + system of equations - practice problems
Number of problems found: 254
- Yiguo
There were an equal number of carrots, tomatoes, and cabbage in the pantry. Yiguo used 49 carrots som, some tomatoes, and some cabbages. There were 3 times as many tomatoes as cabbages left. Sixteen fewer carrots than tomatoes were left. There were 117 ca - Math class
There are a total of 30 students in a math class. The number of boys is 2 more than 3 times the number of girls. How many boys are in this math class? - Heads and legs 2
There are a number of unspecified numbers of cows and hens in a den. If there are a total of 30 heads and 80 legs in the den, find the number of cows and hens in the den. - Cupcakes
Keia and Hiro made a total of 27 cupcakes. Keia made 2 times as many cupcakes as Hiro. How many cupcakes did Hiro make? - The sum 38
The sum of two decimal numbers is four. Their difference is one. What are the numbers? - Fruits
(I) bought three apples, two oranges, four pears, and five bananas, which in total cost £3.73. (i) I bought twenty-one apples, no oranges, eight pears, and fifteen bananas, which in total cost £7.57. (i) I bought one apple, eighteen oranges, fourteen pear - Email hoard
Kendrick received 24 fewer e-mails on Friday than he did on Thursday. If he received a total of 126 e-mails on those two days, how many did he get each day? - Incorrectly 82480
Peter solves 40 examples. For a correctly solved example, he receives CZK 5 from his mother. For example, in a poorly solved case, he will pay 20 CZK to his mother. After solving all the examples, he had CZK 25 more than when he started counting. How many - Family party
Anna has 5 €, Anezka has 4,60 €, and for all the money, they want to buy desserts for a family party. They decide between cakes and a pinwheel: The pinwheel is € 0.40 more expensive than the cake, and the cakes can be bought for all the money by a third m - Prepared 66494
Benches were prepared around the fire. When seven tourists sit on them, one tourist will sit alone on the last bench. When six of them all sat down, one had to stand. How many tourists were at the campfire if we know there were less than 100, and how many - Sweets, candy
Grandfather gave out sweets to four children. At the last moment, two more children came, so to have them all the same, each of the four children would receive four candies less than they would have received if they had not. How much did my grandfather ha - Establishment 17283
The pupils of 7. A planted raspberry and currant bushes in the establishment of the school garden in the same ratio as the number of girls and boys in their class. How many raspberries and a round of currants did they plant when they planted 14 bushes tog - English-German 6443
Two foreign languages are compulsory from the fourth grade. Only a tenth of the class did not choose English, and a fifth did not take German. Fifteen children learn French this way. Calculate how many pupils chose the English-German combination. - Together 81521
Pavel and Vojta were planting trees at the forestry brigade. Pavel planted two more trees than Vojta in a six-hour shift. Together, they planted 156 saplings in three such shifts. How many saplings did Pavel and Vojta plant during the brigade? - Happy marriage
Jan and Marienka have been living in a happy marriage for several years. Jan's age is written in the same numbers as Marienka, only in reverse order. Their ages differ by just a fifth of Marienka's age. Jan is older. How old is Jan, and how many are Marie - Banknotes 17573
The eldest sister saved CZK 7,800 in the bank. She brought this amount only in 100CZK and 200CZK banknotes. The total number of these banknotes was 50. How many banknotes of both values were there? - Pigs
A buyer said, "I want to buy 100 pigs for 100 denarii. An adult pig costs ten denarii, a sow five denarii, and two little piglets are worth one denarius. " How many pigs, cows, and piglets could he buy for exactly 100 denarii? - Individual 4881
There are 32 rooms in the hostel. Some have double beds, others have four beds and the rest have 7 beds. There are a total of 139 beds in the hostel. How many are there if a two-digit number gives the numbers of individual species? - Two-digit number
In a two-digit number, the number of tens is three greater than the number of units. If we multiply the original number by a number written in the same digits, but in reverse order, we get product 3 478. Find the original number. - Children 82437
If 3 boys were added to the eighth grade, 50% of the class would be boys. If, on the other hand, 3 girls were added, they would make up 7/12 classes. How many children are there in the class?
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